A blade track system includes an outer ring coupled with a blade track, and an inner ring positioned concentrically between the outer ring and the blade track. The outer ring designed to radially expand, at a first predetermined rate, in response to acceleration of a gas turbine engine. The segments of the blade track radially outwardly expanded away from a hub of the gas turbine engine by the radial expansion of the outer ring. The inner ring designed to radially contract inwardly toward the hub of the gas turbine engine at a second predetermined rate in response to deceleration of the gas turbine. The first predetermined rate being greater than the second predetermined rate, and radial contraction of the outer ring and the segments of the blade track constrained to the predetermined rate of contraction of the inner ring.